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Finding the Fourth Proportional to 973.19, 1,457.26 and 608.24

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Solution

The fourth proportional to 973.19, 1,457.26 and 608.24 is: 910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.19 : 1,457.26 = 608.24 : x
  2. Step 2: Convert to fraction form
    973.19/1,457.26 = 608.24/x
  3. Step 3: Cross multiply
    973.19x = 1,457.26 × 608.24
  4. Step 4: Simplify right side
    973.19x = 886,365.94
  5. Step 5: Solve for x
    x = 886,365.94/973.19
  6. Step 6: Final answer
    x = 910.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.